Properties

Label 41.2.g.a.5.2
Level 41
Weight 2
Character 41.5
Analytic conductor 0.327
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 41 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 41.g (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.327386648287\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(3\) over \(\Q(\zeta_{20})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 5.2
Character \(\chi\) = 41.5
Dual form 41.2.g.a.33.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.522120 - 0.718637i) q^{2} +(-0.983583 - 0.983583i) q^{3} +(0.374204 - 1.15168i) q^{4} +(1.02071 + 0.331648i) q^{5} +(-0.193291 + 1.22039i) q^{6} +(0.625712 + 3.95059i) q^{7} +(-2.71264 + 0.881390i) q^{8} -1.06513i q^{9} +O(q^{10})\) \(q+(-0.522120 - 0.718637i) q^{2} +(-0.983583 - 0.983583i) q^{3} +(0.374204 - 1.15168i) q^{4} +(1.02071 + 0.331648i) q^{5} +(-0.193291 + 1.22039i) q^{6} +(0.625712 + 3.95059i) q^{7} +(-2.71264 + 0.881390i) q^{8} -1.06513i q^{9} +(-0.294598 - 0.906679i) q^{10} +(-1.14123 + 2.23980i) q^{11} +(-1.50084 + 0.764715i) q^{12} +(4.25204 + 0.673457i) q^{13} +(2.51234 - 2.51234i) q^{14} +(-0.677748 - 1.33015i) q^{15} +(0.0903637 + 0.0656531i) q^{16} +(-4.26144 - 2.17131i) q^{17} +(-0.765440 + 0.556125i) q^{18} +(0.967006 - 0.153159i) q^{19} +(0.763907 - 1.05143i) q^{20} +(3.27029 - 4.50117i) q^{21} +(2.20546 - 0.349311i) q^{22} +(-1.78427 + 1.29635i) q^{23} +(3.53503 + 1.80119i) q^{24} +(-3.11323 - 2.26189i) q^{25} +(-1.73611 - 3.40730i) q^{26} +(-3.99839 + 3.99839i) q^{27} +(4.78397 + 0.757706i) q^{28} +(1.83197 - 0.933434i) q^{29} +(-0.602033 + 1.18156i) q^{30} +(-2.02631 - 6.23635i) q^{31} +5.60526i q^{32} +(3.32552 - 1.08053i) q^{33} +(0.664599 + 4.19611i) q^{34} +(-0.671536 + 4.23991i) q^{35} +(-1.22669 - 0.398575i) q^{36} +(-3.34992 + 10.3100i) q^{37} +(-0.614959 - 0.614959i) q^{38} +(-3.51983 - 4.84464i) q^{39} -3.06112 q^{40} +(6.18056 + 1.67354i) q^{41} -4.94220 q^{42} +(-1.18522 - 1.63132i) q^{43} +(2.15248 + 2.15248i) q^{44} +(0.353247 - 1.08718i) q^{45} +(1.86321 + 0.605393i) q^{46} +(1.55707 - 9.83098i) q^{47} +(-0.0243050 - 0.153456i) q^{48} +(-8.55823 + 2.78074i) q^{49} +3.41827i q^{50} +(2.05581 + 6.32714i) q^{51} +(2.36674 - 4.64499i) q^{52} +(6.91813 - 3.52496i) q^{53} +(4.96103 + 0.785751i) q^{54} +(-1.90769 + 1.90769i) q^{55} +(-5.17934 - 10.1650i) q^{56} +(-1.10177 - 0.800486i) q^{57} +(-1.62731 - 0.829155i) q^{58} +(7.77045 - 5.64556i) q^{59} +(-1.78553 + 0.282801i) q^{60} +(-0.263416 + 0.362561i) q^{61} +(-3.42369 + 4.71231i) q^{62} +(4.20788 - 0.666462i) q^{63} +(4.20887 - 3.05793i) q^{64} +(4.11674 + 2.09758i) q^{65} +(-2.51283 - 1.82568i) q^{66} +(-1.59206 - 3.12459i) q^{67} +(-4.09531 + 4.09531i) q^{68} +(3.03004 + 0.479912i) q^{69} +(3.39758 - 1.73115i) q^{70} +(-6.39610 + 12.5531i) q^{71} +(0.938792 + 2.88930i) q^{72} -8.75882i q^{73} +(9.15822 - 2.97568i) q^{74} +(0.837360 + 5.28689i) q^{75} +(0.185468 - 1.17100i) q^{76} +(-9.56259 - 3.10707i) q^{77} +(-1.64376 + 5.05897i) q^{78} +(-1.93225 - 1.93225i) q^{79} +(0.0704612 + 0.0969816i) q^{80} +4.67012 q^{81} +(-2.02433 - 5.31537i) q^{82} -2.79623 q^{83} +(-3.96016 - 5.45070i) q^{84} +(-3.62957 - 3.62957i) q^{85} +(-0.553497 + 1.70349i) q^{86} +(-2.72000 - 0.883783i) q^{87} +(1.12162 - 7.08163i) q^{88} +(1.73754 + 10.9704i) q^{89} +(-0.965728 + 0.313784i) q^{90} +17.2194i q^{91} +(0.825300 + 2.54001i) q^{92} +(-4.14092 + 8.12702i) q^{93} +(-7.87788 + 4.01398i) q^{94} +(1.03782 + 0.164375i) q^{95} +(5.51324 - 5.51324i) q^{96} +(1.70702 + 3.35021i) q^{97} +(6.46677 + 4.69838i) q^{98} +(2.38567 + 1.21556i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + O(q^{10}) \) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + 6q^{10} - 16q^{11} + 2q^{12} + 14q^{14} + 8q^{15} - 20q^{16} + 8q^{17} + 16q^{19} + 20q^{20} - 10q^{21} + 6q^{22} + 12q^{23} + 68q^{24} - 8q^{25} - 28q^{26} - 6q^{27} + 18q^{28} + 40q^{29} - 36q^{30} - 12q^{31} + 10q^{33} - 16q^{34} - 36q^{35} - 40q^{36} + 46q^{38} - 50q^{39} - 44q^{40} - 4q^{41} - 40q^{42} - 48q^{44} + 16q^{45} + 70q^{46} - 12q^{47} - 50q^{48} - 30q^{49} - 24q^{51} + 20q^{52} - 26q^{53} + 68q^{54} + 20q^{55} + 106q^{56} + 10q^{57} - 20q^{58} + 6q^{59} + 76q^{60} + 30q^{61} - 10q^{62} + 92q^{63} + 70q^{64} + 68q^{65} + 34q^{66} - 22q^{67} - 20q^{68} - 38q^{69} - 20q^{70} + 4q^{71} - 74q^{72} + 10q^{74} + 4q^{75} - 128q^{76} - 20q^{77} - 10q^{78} - 2q^{79} - 70q^{80} + 28q^{81} - 90q^{82} + 80q^{83} - 30q^{84} - 56q^{85} - 46q^{86} - 10q^{87} + 10q^{88} - 72q^{89} - 70q^{90} - 6q^{93} - 18q^{94} - 40q^{95} + 66q^{96} - 22q^{97} + 6q^{98} + 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{11}{20}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.522120 0.718637i −0.369195 0.508153i 0.583487 0.812123i \(-0.301688\pi\)
−0.952682 + 0.303969i \(0.901688\pi\)
\(3\) −0.983583 0.983583i −0.567872 0.567872i 0.363660 0.931532i \(-0.381527\pi\)
−0.931532 + 0.363660i \(0.881527\pi\)
\(4\) 0.374204 1.15168i 0.187102 0.575841i
\(5\) 1.02071 + 0.331648i 0.456474 + 0.148318i 0.528224 0.849105i \(-0.322858\pi\)
−0.0717495 + 0.997423i \(0.522858\pi\)
\(6\) −0.193291 + 1.22039i −0.0789105 + 0.498222i
\(7\) 0.625712 + 3.95059i 0.236497 + 1.49318i 0.764878 + 0.644175i \(0.222799\pi\)
−0.528382 + 0.849007i \(0.677201\pi\)
\(8\) −2.71264 + 0.881390i −0.959063 + 0.311618i
\(9\) 1.06513i 0.355042i
\(10\) −0.294598 0.906679i −0.0931600 0.286717i
\(11\) −1.14123 + 2.23980i −0.344095 + 0.675324i −0.996594 0.0824655i \(-0.973721\pi\)
0.652499 + 0.757789i \(0.273721\pi\)
\(12\) −1.50084 + 0.764715i −0.433254 + 0.220754i
\(13\) 4.25204 + 0.673457i 1.17930 + 0.186783i 0.715150 0.698971i \(-0.246359\pi\)
0.464154 + 0.885755i \(0.346359\pi\)
\(14\) 2.51234 2.51234i 0.671452 0.671452i
\(15\) −0.677748 1.33015i −0.174994 0.343444i
\(16\) 0.0903637 + 0.0656531i 0.0225909 + 0.0164133i
\(17\) −4.26144 2.17131i −1.03355 0.526620i −0.146944 0.989145i \(-0.546944\pi\)
−0.886606 + 0.462525i \(0.846944\pi\)
\(18\) −0.765440 + 0.556125i −0.180416 + 0.131080i
\(19\) 0.967006 0.153159i 0.221846 0.0351370i −0.0445217 0.999008i \(-0.514176\pi\)
0.266368 + 0.963871i \(0.414176\pi\)
\(20\) 0.763907 1.05143i 0.170815 0.235106i
\(21\) 3.27029 4.50117i 0.713636 0.982236i
\(22\) 2.20546 0.349311i 0.470206 0.0744733i
\(23\) −1.78427 + 1.29635i −0.372046 + 0.270307i −0.758059 0.652186i \(-0.773852\pi\)
0.386013 + 0.922493i \(0.373852\pi\)
\(24\) 3.53503 + 1.80119i 0.721584 + 0.367666i
\(25\) −3.11323 2.26189i −0.622646 0.452379i
\(26\) −1.73611 3.40730i −0.340478 0.668226i
\(27\) −3.99839 + 3.99839i −0.769491 + 0.769491i
\(28\) 4.78397 + 0.757706i 0.904085 + 0.143193i
\(29\) 1.83197 0.933434i 0.340188 0.173334i −0.275547 0.961287i \(-0.588859\pi\)
0.615735 + 0.787953i \(0.288859\pi\)
\(30\) −0.602033 + 1.18156i −0.109916 + 0.215722i
\(31\) −2.02631 6.23635i −0.363936 1.12008i −0.950644 0.310283i \(-0.899576\pi\)
0.586708 0.809799i \(-0.300424\pi\)
\(32\) 5.60526i 0.990879i
\(33\) 3.32552 1.08053i 0.578900 0.188096i
\(34\) 0.664599 + 4.19611i 0.113978 + 0.719627i
\(35\) −0.671536 + 4.23991i −0.113510 + 0.716676i
\(36\) −1.22669 0.398575i −0.204448 0.0664292i
\(37\) −3.34992 + 10.3100i −0.550724 + 1.69495i 0.156252 + 0.987717i \(0.450059\pi\)
−0.706976 + 0.707237i \(0.749941\pi\)
\(38\) −0.614959 0.614959i −0.0997595 0.0997595i
\(39\) −3.51983 4.84464i −0.563624 0.775763i
\(40\) −3.06112 −0.484006
\(41\) 6.18056 + 1.67354i 0.965241 + 0.261363i
\(42\) −4.94220 −0.762597
\(43\) −1.18522 1.63132i −0.180745 0.248773i 0.709025 0.705183i \(-0.249135\pi\)
−0.889770 + 0.456410i \(0.849135\pi\)
\(44\) 2.15248 + 2.15248i 0.324499 + 0.324499i
\(45\) 0.353247 1.08718i 0.0526590 0.162068i
\(46\) 1.86321 + 0.605393i 0.274715 + 0.0892603i
\(47\) 1.55707 9.83098i 0.227123 1.43400i −0.565735 0.824587i \(-0.691407\pi\)
0.792857 0.609408i \(-0.208593\pi\)
\(48\) −0.0243050 0.153456i −0.00350812 0.0221494i
\(49\) −8.55823 + 2.78074i −1.22260 + 0.397248i
\(50\) 3.41827i 0.483416i
\(51\) 2.05581 + 6.32714i 0.287871 + 0.885977i
\(52\) 2.36674 4.64499i 0.328208 0.644144i
\(53\) 6.91813 3.52496i 0.950278 0.484191i 0.0910855 0.995843i \(-0.470966\pi\)
0.859193 + 0.511652i \(0.170966\pi\)
\(54\) 4.96103 + 0.785751i 0.675111 + 0.106927i
\(55\) −1.90769 + 1.90769i −0.257233 + 0.257233i
\(56\) −5.17934 10.1650i −0.692118 1.35836i
\(57\) −1.10177 0.800486i −0.145934 0.106027i
\(58\) −1.62731 0.829155i −0.213676 0.108873i
\(59\) 7.77045 5.64556i 1.01163 0.734989i 0.0470763 0.998891i \(-0.485010\pi\)
0.964549 + 0.263902i \(0.0850096\pi\)
\(60\) −1.78553 + 0.282801i −0.230511 + 0.0365094i
\(61\) −0.263416 + 0.362561i −0.0337269 + 0.0464211i −0.825547 0.564333i \(-0.809134\pi\)
0.791821 + 0.610754i \(0.209134\pi\)
\(62\) −3.42369 + 4.71231i −0.434809 + 0.598464i
\(63\) 4.20788 0.666462i 0.530143 0.0839663i
\(64\) 4.20887 3.05793i 0.526109 0.382241i
\(65\) 4.11674 + 2.09758i 0.510618 + 0.260173i
\(66\) −2.51283 1.82568i −0.309308 0.224726i
\(67\) −1.59206 3.12459i −0.194501 0.381729i 0.773073 0.634317i \(-0.218718\pi\)
−0.967574 + 0.252587i \(0.918718\pi\)
\(68\) −4.09531 + 4.09531i −0.496629 + 0.496629i
\(69\) 3.03004 + 0.479912i 0.364775 + 0.0577746i
\(70\) 3.39758 1.73115i 0.406088 0.206912i
\(71\) −6.39610 + 12.5531i −0.759078 + 1.48977i 0.109374 + 0.994001i \(0.465115\pi\)
−0.868452 + 0.495773i \(0.834885\pi\)
\(72\) 0.938792 + 2.88930i 0.110638 + 0.340508i
\(73\) 8.75882i 1.02514i −0.858645 0.512571i \(-0.828693\pi\)
0.858645 0.512571i \(-0.171307\pi\)
\(74\) 9.15822 2.97568i 1.06462 0.345916i
\(75\) 0.837360 + 5.28689i 0.0966901 + 0.610477i
\(76\) 0.185468 1.17100i 0.0212746 0.134322i
\(77\) −9.56259 3.10707i −1.08976 0.354084i
\(78\) −1.64376 + 5.05897i −0.186119 + 0.572815i
\(79\) −1.93225 1.93225i −0.217395 0.217395i 0.590005 0.807400i \(-0.299126\pi\)
−0.807400 + 0.590005i \(0.799126\pi\)
\(80\) 0.0704612 + 0.0969816i 0.00787781 + 0.0108429i
\(81\) 4.67012 0.518903
\(82\) −2.02433 5.31537i −0.223550 0.586984i
\(83\) −2.79623 −0.306926 −0.153463 0.988154i \(-0.549043\pi\)
−0.153463 + 0.988154i \(0.549043\pi\)
\(84\) −3.96016 5.45070i −0.432089 0.594720i
\(85\) −3.62957 3.62957i −0.393682 0.393682i
\(86\) −0.553497 + 1.70349i −0.0596851 + 0.183692i
\(87\) −2.72000 0.883783i −0.291615 0.0947515i
\(88\) 1.12162 7.08163i 0.119565 0.754904i
\(89\) 1.73754 + 10.9704i 0.184179 + 1.16286i 0.890505 + 0.454974i \(0.150351\pi\)
−0.706326 + 0.707887i \(0.749649\pi\)
\(90\) −0.965728 + 0.313784i −0.101797 + 0.0330757i
\(91\) 17.2194i 1.80509i
\(92\) 0.825300 + 2.54001i 0.0860435 + 0.264815i
\(93\) −4.14092 + 8.12702i −0.429394 + 0.842732i
\(94\) −7.87788 + 4.01398i −0.812542 + 0.414011i
\(95\) 1.03782 + 0.164375i 0.106479 + 0.0168645i
\(96\) 5.51324 5.51324i 0.562693 0.562693i
\(97\) 1.70702 + 3.35021i 0.173321 + 0.340162i 0.961283 0.275561i \(-0.0888637\pi\)
−0.787962 + 0.615724i \(0.788864\pi\)
\(98\) 6.46677 + 4.69838i 0.653242 + 0.474608i
\(99\) 2.38567 + 1.21556i 0.239769 + 0.122168i
\(100\) −3.76997 + 2.73904i −0.376997 + 0.273904i
\(101\) −1.80537 + 0.285942i −0.179641 + 0.0284523i −0.245607 0.969370i \(-0.578987\pi\)
0.0659658 + 0.997822i \(0.478987\pi\)
\(102\) 3.47354 4.78091i 0.343931 0.473381i
\(103\) 6.53693 8.99731i 0.644103 0.886531i −0.354723 0.934971i \(-0.615425\pi\)
0.998826 + 0.0484399i \(0.0154249\pi\)
\(104\) −12.1278 + 1.92086i −1.18923 + 0.188356i
\(105\) 4.83082 3.50979i 0.471440 0.342521i
\(106\) −6.14527 3.13117i −0.596881 0.304126i
\(107\) 10.4582 + 7.59832i 1.01103 + 0.734557i 0.964425 0.264356i \(-0.0851595\pi\)
0.0466060 + 0.998913i \(0.485159\pi\)
\(108\) 3.10866 + 6.10110i 0.299131 + 0.587078i
\(109\) −4.71687 + 4.71687i −0.451794 + 0.451794i −0.895950 0.444156i \(-0.853504\pi\)
0.444156 + 0.895950i \(0.353504\pi\)
\(110\) 2.36698 + 0.374893i 0.225683 + 0.0357446i
\(111\) 13.4357 6.84582i 1.27526 0.649777i
\(112\) −0.202827 + 0.398070i −0.0191653 + 0.0376141i
\(113\) −4.03978 12.4332i −0.380031 1.16961i −0.940021 0.341115i \(-0.889195\pi\)
0.559991 0.828499i \(-0.310805\pi\)
\(114\) 1.20973i 0.113301i
\(115\) −2.25115 + 0.731443i −0.209921 + 0.0682074i
\(116\) −0.389490 2.45914i −0.0361632 0.228326i
\(117\) 0.717317 4.52896i 0.0663160 0.418703i
\(118\) −8.11422 2.63647i −0.746974 0.242707i
\(119\) 5.91152 18.1938i 0.541908 1.66782i
\(120\) 3.01087 + 3.01087i 0.274854 + 0.274854i
\(121\) 2.75136 + 3.78693i 0.250124 + 0.344266i
\(122\) 0.398084 0.0360408
\(123\) −4.43303 7.72516i −0.399713 0.696554i
\(124\) −7.94055 −0.713082
\(125\) −5.58171 7.68256i −0.499243 0.687149i
\(126\) −2.67596 2.67596i −0.238394 0.238394i
\(127\) 2.84583 8.75856i 0.252526 0.777196i −0.741781 0.670643i \(-0.766018\pi\)
0.994307 0.106554i \(-0.0339816\pi\)
\(128\) 6.26676 + 2.03619i 0.553908 + 0.179976i
\(129\) −0.438772 + 2.77030i −0.0386318 + 0.243911i
\(130\) −0.642032 4.05363i −0.0563099 0.355527i
\(131\) 0.179705 0.0583895i 0.0157009 0.00510152i −0.301156 0.953575i \(-0.597373\pi\)
0.316857 + 0.948473i \(0.397373\pi\)
\(132\) 4.23429i 0.368547i
\(133\) 1.21013 + 3.72441i 0.104932 + 0.322947i
\(134\) −1.41420 + 2.77552i −0.122168 + 0.239769i
\(135\) −5.40725 + 2.75513i −0.465382 + 0.237124i
\(136\) 13.4735 + 2.13399i 1.15534 + 0.182988i
\(137\) −4.54556 + 4.54556i −0.388353 + 0.388353i −0.874100 0.485746i \(-0.838548\pi\)
0.485746 + 0.874100i \(0.338548\pi\)
\(138\) −1.23717 2.42807i −0.105315 0.206691i
\(139\) 5.82631 + 4.23306i 0.494181 + 0.359043i 0.806790 0.590838i \(-0.201203\pi\)
−0.312609 + 0.949882i \(0.601203\pi\)
\(140\) 4.63174 + 2.35999i 0.391453 + 0.199456i
\(141\) −11.2011 + 8.13807i −0.943303 + 0.685349i
\(142\) 12.3606 1.95773i 1.03728 0.164289i
\(143\) −6.36097 + 8.75513i −0.531931 + 0.732141i
\(144\) 0.0699289 0.0962489i 0.00582741 0.00802074i
\(145\) 2.17948 0.345195i 0.180996 0.0286669i
\(146\) −6.29441 + 4.57316i −0.520929 + 0.378477i
\(147\) 11.1528 + 5.68264i 0.919869 + 0.468697i
\(148\) 10.6203 + 7.71610i 0.872983 + 0.634260i
\(149\) −2.20761 4.33268i −0.180855 0.354947i 0.782725 0.622367i \(-0.213829\pi\)
−0.963580 + 0.267420i \(0.913829\pi\)
\(150\) 3.36215 3.36215i 0.274518 0.274518i
\(151\) −9.40032 1.48886i −0.764987 0.121162i −0.238266 0.971200i \(-0.576579\pi\)
−0.526721 + 0.850038i \(0.676579\pi\)
\(152\) −2.48814 + 1.26777i −0.201815 + 0.102830i
\(153\) −2.31272 + 4.53897i −0.186972 + 0.366954i
\(154\) 2.75997 + 8.49430i 0.222404 + 0.684490i
\(155\) 7.03751i 0.565266i
\(156\) −6.89662 + 2.24085i −0.552172 + 0.179411i
\(157\) 1.23051 + 7.76915i 0.0982056 + 0.620046i 0.986874 + 0.161495i \(0.0516314\pi\)
−0.888668 + 0.458551i \(0.848369\pi\)
\(158\) −0.379719 + 2.39745i −0.0302088 + 0.190731i
\(159\) −10.2717 3.33746i −0.814595 0.264678i
\(160\) −1.85897 + 5.72133i −0.146965 + 0.452311i
\(161\) −6.23777 6.23777i −0.491605 0.491605i
\(162\) −2.43837 3.35612i −0.191576 0.263682i
\(163\) −14.6310 −1.14599 −0.572994 0.819560i \(-0.694218\pi\)
−0.572994 + 0.819560i \(0.694218\pi\)
\(164\) 4.24018 6.49179i 0.331102 0.506924i
\(165\) 3.75274 0.292151
\(166\) 1.45997 + 2.00948i 0.113316 + 0.155966i
\(167\) 0.134117 + 0.134117i 0.0103783 + 0.0103783i 0.712277 0.701899i \(-0.247664\pi\)
−0.701899 + 0.712277i \(0.747664\pi\)
\(168\) −4.90384 + 15.0925i −0.378339 + 1.16441i
\(169\) 5.26255 + 1.70991i 0.404812 + 0.131531i
\(170\) −0.713271 + 4.50342i −0.0547054 + 0.345396i
\(171\) −0.163133 1.02998i −0.0124751 0.0787648i
\(172\) −2.32227 + 0.754553i −0.177072 + 0.0575341i
\(173\) 5.31858i 0.404364i −0.979348 0.202182i \(-0.935197\pi\)
0.979348 0.202182i \(-0.0648033\pi\)
\(174\) 0.785050 + 2.41614i 0.0595145 + 0.183167i
\(175\) 6.98783 13.7144i 0.528230 1.03671i
\(176\) −0.250176 + 0.127471i −0.0188577 + 0.00960848i
\(177\) −13.1958 2.09000i −0.991854 0.157094i
\(178\) 6.97653 6.97653i 0.522913 0.522913i
\(179\) 7.56349 + 14.8442i 0.565322 + 1.10951i 0.979899 + 0.199492i \(0.0639293\pi\)
−0.414578 + 0.910014i \(0.636071\pi\)
\(180\) −1.11990 0.813658i −0.0834727 0.0606465i
\(181\) 9.39816 + 4.78860i 0.698560 + 0.355934i 0.766934 0.641726i \(-0.221781\pi\)
−0.0683744 + 0.997660i \(0.521781\pi\)
\(182\) 12.3745 8.99062i 0.917261 0.666429i
\(183\) 0.615700 0.0975173i 0.0455138 0.00720868i
\(184\) 3.69749 5.08916i 0.272583 0.375178i
\(185\) −6.83859 + 9.41251i −0.502783 + 0.692021i
\(186\) 8.00244 1.26746i 0.586767 0.0929348i
\(187\) 9.72658 7.06678i 0.711278 0.516774i
\(188\) −10.7395 5.47205i −0.783259 0.399090i
\(189\) −18.2978 13.2942i −1.33097 0.967007i
\(190\) −0.423743 0.831643i −0.0307416 0.0603337i
\(191\) 11.1396 11.1396i 0.806032 0.806032i −0.177999 0.984031i \(-0.556962\pi\)
0.984031 + 0.177999i \(0.0569623\pi\)
\(192\) −7.14750 1.13205i −0.515827 0.0816989i
\(193\) −20.8262 + 10.6115i −1.49910 + 0.763831i −0.995006 0.0998160i \(-0.968175\pi\)
−0.504097 + 0.863647i \(0.668175\pi\)
\(194\) 1.51632 2.97594i 0.108865 0.213660i
\(195\) −1.98601 6.11230i −0.142221 0.437711i
\(196\) 10.8969i 0.778352i
\(197\) 11.2628 3.65951i 0.802442 0.260729i 0.121048 0.992647i \(-0.461374\pi\)
0.681393 + 0.731918i \(0.261374\pi\)
\(198\) −0.372060 2.34910i −0.0264412 0.166943i
\(199\) 1.32526 8.36737i 0.0939452 0.593147i −0.895138 0.445789i \(-0.852923\pi\)
0.989083 0.147358i \(-0.0470769\pi\)
\(200\) 10.4387 + 3.39173i 0.738126 + 0.239832i
\(201\) −1.50737 + 4.63921i −0.106322 + 0.327225i
\(202\) 1.14811 + 1.14811i 0.0807806 + 0.0807806i
\(203\) 4.83390 + 6.65329i 0.339273 + 0.466969i
\(204\) 8.05616 0.564044
\(205\) 5.75351 + 3.75796i 0.401843 + 0.262468i
\(206\) −9.87887 −0.688293
\(207\) 1.38078 + 1.90047i 0.0959705 + 0.132092i
\(208\) 0.340016 + 0.340016i 0.0235758 + 0.0235758i
\(209\) −0.760535 + 2.34068i −0.0526073 + 0.161909i
\(210\) −5.04454 1.63907i −0.348106 0.113107i
\(211\) −1.50316 + 9.49061i −0.103482 + 0.653360i 0.880358 + 0.474310i \(0.157302\pi\)
−0.983840 + 0.179050i \(0.942698\pi\)
\(212\) −1.47084 9.28655i −0.101018 0.637803i
\(213\) 18.6381 6.05588i 1.27706 0.414942i
\(214\) 11.4829i 0.784953i
\(215\) −0.668741 2.05817i −0.0456078 0.140366i
\(216\) 7.32205 14.3703i 0.498203 0.977777i
\(217\) 23.3693 11.9073i 1.58641 0.808319i
\(218\) 5.85249 + 0.926943i 0.396380 + 0.0627805i
\(219\) −8.61503 + 8.61503i −0.582150 + 0.582150i
\(220\) 1.48319 + 2.91092i 0.0999965 + 0.196254i
\(221\) −16.6575 12.1024i −1.12051 0.814095i
\(222\) −11.9347 6.08104i −0.801005 0.408132i
\(223\) −4.32492 + 3.14224i −0.289618 + 0.210420i −0.723102 0.690742i \(-0.757284\pi\)
0.433484 + 0.901161i \(0.357284\pi\)
\(224\) −22.1441 + 3.50727i −1.47956 + 0.234340i
\(225\) −2.40921 + 3.31599i −0.160614 + 0.221066i
\(226\) −6.82568 + 9.39475i −0.454038 + 0.624929i
\(227\) 6.85453 1.08565i 0.454951 0.0720571i 0.0752464 0.997165i \(-0.476026\pi\)
0.379704 + 0.925108i \(0.376026\pi\)
\(228\) −1.33420 + 0.969350i −0.0883593 + 0.0641968i
\(229\) 15.9124 + 8.10777i 1.05152 + 0.535777i 0.892289 0.451465i \(-0.149098\pi\)
0.159232 + 0.987241i \(0.449098\pi\)
\(230\) 1.70101 + 1.23586i 0.112161 + 0.0814901i
\(231\) 6.34954 + 12.4617i 0.417769 + 0.819918i
\(232\) −4.14675 + 4.14675i −0.272247 + 0.272247i
\(233\) −4.30559 0.681939i −0.282069 0.0446753i 0.0137971 0.999905i \(-0.495608\pi\)
−0.295866 + 0.955230i \(0.595608\pi\)
\(234\) −3.62921 + 1.84917i −0.237249 + 0.120884i
\(235\) 4.84974 9.51815i 0.316362 0.620896i
\(236\) −3.59416 11.0617i −0.233960 0.720054i
\(237\) 3.80105i 0.246905i
\(238\) −16.1613 + 5.25111i −1.04758 + 0.340379i
\(239\) 1.73930 + 10.9815i 0.112506 + 0.710334i 0.977874 + 0.209197i \(0.0670850\pi\)
−0.865368 + 0.501138i \(0.832915\pi\)
\(240\) 0.0260850 0.164694i 0.00168378 0.0106310i
\(241\) 18.4604 + 5.99815i 1.18914 + 0.386375i 0.835755 0.549103i \(-0.185030\pi\)
0.353385 + 0.935478i \(0.385030\pi\)
\(242\) 1.28488 3.95446i 0.0825954 0.254203i
\(243\) 7.40172 + 7.40172i 0.474821 + 0.474821i
\(244\) 0.318983 + 0.439043i 0.0204208 + 0.0281068i
\(245\) −9.65767 −0.617006
\(246\) −3.23701 + 7.21920i −0.206384 + 0.460279i
\(247\) 4.21489 0.268187
\(248\) 10.9933 + 15.1310i 0.698076 + 0.960819i
\(249\) 2.75033 + 2.75033i 0.174295 + 0.174295i
\(250\) −2.60665 + 8.02244i −0.164859 + 0.507384i
\(251\) −2.21352 0.719217i −0.139716 0.0453966i 0.238324 0.971186i \(-0.423402\pi\)
−0.378040 + 0.925789i \(0.623402\pi\)
\(252\) 0.807053 5.09553i 0.0508396 0.320988i
\(253\) −0.867287 5.47584i −0.0545259 0.344263i
\(254\) −7.78009 + 2.52790i −0.488166 + 0.158615i
\(255\) 7.13997i 0.447122i
\(256\) −5.02401 15.4623i −0.314001 0.966395i
\(257\) −8.86149 + 17.3916i −0.552764 + 1.08486i 0.430485 + 0.902597i \(0.358342\pi\)
−0.983250 + 0.182263i \(0.941658\pi\)
\(258\) 2.21993 1.13111i 0.138207 0.0704200i
\(259\) −42.8267 6.78308i −2.66112 0.421480i
\(260\) 3.95625 3.95625i 0.245356 0.245356i
\(261\) −0.994226 1.95128i −0.0615410 0.120781i
\(262\) −0.135788 0.0986560i −0.00838903 0.00609499i
\(263\) −2.91538 1.48546i −0.179770 0.0915973i 0.361790 0.932260i \(-0.382166\pi\)
−0.541559 + 0.840662i \(0.682166\pi\)
\(264\) −8.06858 + 5.86217i −0.496587 + 0.360791i
\(265\) 8.23043 1.30357i 0.505592 0.0800778i
\(266\) 2.04466 2.81423i 0.125366 0.172552i
\(267\) 9.08129 12.4993i 0.555766 0.764946i
\(268\) −4.19429 + 0.664310i −0.256207 + 0.0405792i
\(269\) −9.01598 + 6.55050i −0.549714 + 0.399391i −0.827680 0.561200i \(-0.810340\pi\)
0.277966 + 0.960591i \(0.410340\pi\)
\(270\) 4.80317 + 2.44734i 0.292312 + 0.148940i
\(271\) −5.17280 3.75826i −0.314225 0.228298i 0.419482 0.907764i \(-0.362212\pi\)
−0.733707 + 0.679466i \(0.762212\pi\)
\(272\) −0.242526 0.475984i −0.0147053 0.0288608i
\(273\) 16.9368 16.9368i 1.02506 1.02506i
\(274\) 5.63994 + 0.893278i 0.340721 + 0.0539649i
\(275\) 8.61911 4.39165i 0.519752 0.264827i
\(276\) 1.68656 3.31007i 0.101519 0.199243i
\(277\) 7.78542 + 23.9611i 0.467781 + 1.43968i 0.855452 + 0.517883i \(0.173280\pi\)
−0.387671 + 0.921798i \(0.626720\pi\)
\(278\) 6.39717i 0.383677i
\(279\) −6.64250 + 2.15828i −0.397676 + 0.129213i
\(280\) −1.91538 12.0932i −0.114466 0.722709i
\(281\) −0.531501 + 3.35577i −0.0317067 + 0.200188i −0.998457 0.0555350i \(-0.982314\pi\)
0.966750 + 0.255723i \(0.0823136\pi\)
\(282\) 11.6966 + 3.80047i 0.696525 + 0.226315i
\(283\) 2.32829 7.16575i 0.138403 0.425959i −0.857701 0.514149i \(-0.828108\pi\)
0.996104 + 0.0881892i \(0.0281080\pi\)
\(284\) 12.0637 + 12.0637i 0.715849 + 0.715849i
\(285\) −0.859110 1.18246i −0.0508893 0.0700431i
\(286\) 9.61295 0.568426
\(287\) −2.74422 + 25.4640i −0.161986 + 1.50309i
\(288\) 5.97031 0.351804
\(289\) 3.45290 + 4.75251i 0.203112 + 0.279559i
\(290\) −1.38602 1.38602i −0.0813898 0.0813898i
\(291\) 1.61622 4.97421i 0.0947443 0.291593i
\(292\) −10.0874 3.27759i −0.590319 0.191806i
\(293\) −0.934720 + 5.90159i −0.0546069 + 0.344775i 0.945225 + 0.326421i \(0.105843\pi\)
−0.999832 + 0.0183540i \(0.994157\pi\)
\(294\) −1.73935 10.9819i −0.101441 0.640475i
\(295\) 9.80369 3.18541i 0.570793 0.185462i
\(296\) 30.9199i 1.79718i
\(297\) −4.39249 13.5187i −0.254878 0.784433i
\(298\) −1.96099 + 3.84865i −0.113597 + 0.222947i
\(299\) −8.45982 + 4.31049i −0.489244 + 0.249282i
\(300\) 6.40216 + 1.01400i 0.369629 + 0.0585435i
\(301\) 5.70305 5.70305i 0.328718 0.328718i
\(302\) 3.83814 + 7.53278i 0.220860 + 0.433463i
\(303\) 2.05698 + 1.49448i 0.118170 + 0.0858558i
\(304\) 0.0974376 + 0.0496469i 0.00558843 + 0.00284745i
\(305\) −0.389113 + 0.282707i −0.0222805 + 0.0161878i
\(306\) 4.46939 0.707882i 0.255498 0.0404669i
\(307\) 0.432807 0.595708i 0.0247016 0.0339988i −0.796488 0.604655i \(-0.793311\pi\)
0.821189 + 0.570656i \(0.193311\pi\)
\(308\) −7.15673 + 9.85039i −0.407792 + 0.561278i
\(309\) −15.2792 + 2.41999i −0.869205 + 0.137668i
\(310\) −5.05742 + 3.67443i −0.287242 + 0.208693i
\(311\) −25.7148 13.1024i −1.45816 0.742967i −0.468104 0.883673i \(-0.655063\pi\)
−0.990051 + 0.140706i \(0.955063\pi\)
\(312\) 13.8181 + 10.0394i 0.782293 + 0.568369i
\(313\) −7.45211 14.6256i −0.421218 0.826687i −0.999938 0.0111603i \(-0.996447\pi\)
0.578720 0.815526i \(-0.303553\pi\)
\(314\) 4.94072 4.94072i 0.278821 0.278821i
\(315\) 4.51604 + 0.715271i 0.254450 + 0.0403010i
\(316\) −2.94839 + 1.50228i −0.165860 + 0.0845098i
\(317\) 15.3313 30.0894i 0.861091 1.68999i 0.147917 0.989000i \(-0.452743\pi\)
0.713174 0.700987i \(-0.247257\pi\)
\(318\) 2.96462 + 9.12415i 0.166247 + 0.511657i
\(319\) 5.16850i 0.289380i
\(320\) 5.31018 1.72538i 0.296848 0.0964519i
\(321\) −2.81292 17.7601i −0.157002 0.991271i
\(322\) −1.22583 + 7.73956i −0.0683126 + 0.431309i
\(323\) −4.45339 1.44699i −0.247793 0.0805129i
\(324\) 1.74758 5.37850i 0.0970878 0.298806i
\(325\) −11.7143 11.7143i −0.649792 0.649792i
\(326\) 7.63914 + 10.5144i 0.423093 + 0.582337i
\(327\) 9.27886 0.513122
\(328\) −18.2407 + 0.907773i −1.00717 + 0.0501234i
\(329\) 39.8124 2.19493
\(330\) −1.95938 2.69686i −0.107861 0.148457i
\(331\) −8.52119 8.52119i −0.468367 0.468367i 0.433018 0.901385i \(-0.357449\pi\)
−0.901385 + 0.433018i \(0.857449\pi\)
\(332\) −1.04636 + 3.22037i −0.0574266 + 0.176741i
\(333\) 10.9815 + 3.56809i 0.601781 + 0.195530i
\(334\) 0.0263562 0.166407i 0.00144215 0.00910537i
\(335\) −0.588761 3.71729i −0.0321675 0.203097i
\(336\) 0.591032 0.192038i 0.0322434 0.0104765i
\(337\) 3.80509i 0.207276i 0.994615 + 0.103638i \(0.0330484\pi\)
−0.994615 + 0.103638i \(0.966952\pi\)
\(338\) −1.51888 4.67464i −0.0826163 0.254267i
\(339\) −8.25560 + 16.2025i −0.448383 + 0.880000i
\(340\) −5.53831 + 2.82191i −0.300357 + 0.153040i
\(341\) 16.2806 + 2.57860i 0.881646 + 0.139639i
\(342\) −0.655009 + 0.655009i −0.0354188 + 0.0354188i
\(343\) −3.62932 7.12295i −0.195965 0.384603i
\(344\) 4.65290 + 3.38053i 0.250868 + 0.182266i
\(345\) 2.93363 + 1.49476i 0.157941 + 0.0804751i
\(346\) −3.82213 + 2.77694i −0.205479 + 0.149289i
\(347\) −15.9515 + 2.52648i −0.856324 + 0.135628i −0.569134 0.822245i \(-0.692721\pi\)
−0.287190 + 0.957874i \(0.592721\pi\)
\(348\) −2.03568 + 2.80187i −0.109124 + 0.150196i
\(349\) −0.538696 + 0.741452i −0.0288358 + 0.0396890i −0.823191 0.567764i \(-0.807809\pi\)
0.794356 + 0.607453i \(0.207809\pi\)
\(350\) −13.5042 + 2.13885i −0.721827 + 0.114326i
\(351\) −19.6941 + 14.3086i −1.05119 + 0.763735i
\(352\) −12.5546 6.39691i −0.669164 0.340956i
\(353\) −3.48494 2.53196i −0.185485 0.134763i 0.491168 0.871065i \(-0.336570\pi\)
−0.676653 + 0.736302i \(0.736570\pi\)
\(354\) 5.38782 + 10.5742i 0.286360 + 0.562012i
\(355\) −10.6917 + 10.6917i −0.567459 + 0.567459i
\(356\) 13.2846 + 2.10408i 0.704084 + 0.111516i
\(357\) −23.7096 + 12.0806i −1.25484 + 0.639375i
\(358\) 6.71853 13.1859i 0.355085 0.696894i
\(359\) 8.03083 + 24.7164i 0.423851 + 1.30448i 0.904090 + 0.427342i \(0.140550\pi\)
−0.480239 + 0.877138i \(0.659450\pi\)
\(360\) 3.26048i 0.171843i
\(361\) −17.1584 + 5.57511i −0.903075 + 0.293427i
\(362\) −1.46570 9.25409i −0.0770357 0.486384i
\(363\) 1.01856 6.43096i 0.0534607 0.337538i
\(364\) 19.8313 + 6.44359i 1.03944 + 0.337736i
\(365\) 2.90485 8.94020i 0.152047 0.467951i
\(366\) −0.391549 0.391549i −0.0204666 0.0204666i
\(367\) 8.09990 + 11.1486i 0.422811 + 0.581950i 0.966285 0.257477i \(-0.0828910\pi\)
−0.543473 + 0.839427i \(0.682891\pi\)
\(368\) −0.246343 −0.0128415
\(369\) 1.78253 6.58308i 0.0927949 0.342701i
\(370\) 10.3347 0.537278
\(371\) 18.2544 + 25.1251i 0.947723 + 1.30443i
\(372\) 7.81019 + 7.81019i 0.404940 + 0.404940i
\(373\) 10.7077 32.9549i 0.554424 1.70634i −0.143036 0.989717i \(-0.545687\pi\)
0.697460 0.716624i \(-0.254313\pi\)
\(374\) −10.1569 3.30018i −0.525201 0.170648i
\(375\) −2.06636 + 13.0465i −0.106707 + 0.673719i
\(376\) 4.44114 + 28.0403i 0.229034 + 1.44607i
\(377\) 8.41822 2.73525i 0.433561 0.140872i
\(378\) 20.0907i 1.03335i
\(379\) −2.94287 9.05722i −0.151165 0.465238i 0.846587 0.532250i \(-0.178653\pi\)
−0.997752 + 0.0670121i \(0.978653\pi\)
\(380\) 0.577667 1.13373i 0.0296337 0.0581594i
\(381\) −11.4139 + 5.81566i −0.584751 + 0.297945i
\(382\) −13.8215 2.18911i −0.707171 0.112005i
\(383\) −16.7656 + 16.7656i −0.856684 + 0.856684i −0.990946 0.134262i \(-0.957134\pi\)
0.134262 + 0.990946i \(0.457134\pi\)
\(384\) −4.16111 8.16664i −0.212346 0.416752i
\(385\) −8.73016 6.34283i −0.444930 0.323261i
\(386\) 18.4996 + 9.42601i 0.941604 + 0.479771i
\(387\) −1.73756 + 1.26241i −0.0883251 + 0.0641720i
\(388\) 4.49715 0.712279i 0.228308 0.0361605i
\(389\) −6.45082 + 8.87880i −0.327070 + 0.450173i −0.940609 0.339491i \(-0.889745\pi\)
0.613540 + 0.789664i \(0.289745\pi\)
\(390\) −3.35559 + 4.61858i −0.169917 + 0.233871i
\(391\) 10.4183 1.65010i 0.526877 0.0834492i
\(392\) 20.7645 15.0863i 1.04876 0.761972i
\(393\) −0.234185 0.119323i −0.0118131 0.00601907i
\(394\) −8.51040 6.18317i −0.428748 0.311503i
\(395\) −1.33143 2.61308i −0.0669916 0.131479i
\(396\) 2.29266 2.29266i 0.115211 0.115211i
\(397\) −25.3501 4.01506i −1.27228 0.201510i −0.516476 0.856302i \(-0.672756\pi\)
−0.755809 + 0.654792i \(0.772756\pi\)
\(398\) −6.70505 + 3.41639i −0.336094 + 0.171248i
\(399\) 2.47300 4.85353i 0.123805 0.242980i
\(400\) −0.132823 0.408787i −0.00664114 0.0204393i
\(401\) 26.7180i 1.33423i −0.744953 0.667117i \(-0.767528\pi\)
0.744953 0.667117i \(-0.232472\pi\)
\(402\) 4.12094 1.33897i 0.205534 0.0667820i
\(403\) −4.41605 27.8818i −0.219979 1.38889i
\(404\) −0.346262 + 2.18621i −0.0172272 + 0.108768i
\(405\) 4.76683 + 1.54884i 0.236866 + 0.0769623i
\(406\) 2.25742 6.94763i 0.112034 0.344805i
\(407\) −19.2693 19.2693i −0.955142 0.955142i
\(408\) −11.1534 15.3513i −0.552174 0.760002i
\(409\) 35.3318 1.74704 0.873522 0.486785i \(-0.161831\pi\)
0.873522 + 0.486785i \(0.161831\pi\)
\(410\) −0.303416 6.09680i −0.0149846 0.301099i
\(411\) 8.94188 0.441070
\(412\) −7.91590 10.8953i −0.389988 0.536773i
\(413\) 27.1653 + 27.1653i 1.33672 + 1.33672i
\(414\) 0.644820 1.98455i 0.0316912 0.0975354i
\(415\) −2.85414 0.927365i −0.140104 0.0455225i
\(416\) −3.77490 + 23.8338i −0.185080 + 1.16855i
\(417\) −1.56709 9.89423i −0.0767408 0.484522i
\(418\) 2.07919 0.675571i 0.101697 0.0330433i
\(419\) 28.5341i 1.39398i −0.717080 0.696991i \(-0.754522\pi\)
0.717080 0.696991i \(-0.245478\pi\)
\(420\) −2.23446 6.87695i −0.109030 0.335561i
\(421\) 4.65405 9.13410i 0.226825 0.445169i −0.749344 0.662181i \(-0.769631\pi\)
0.976169 + 0.217012i \(0.0696311\pi\)
\(422\) 7.60514 3.87501i 0.370212 0.188633i
\(423\) −10.4712 1.65848i −0.509129 0.0806381i
\(424\) −15.6595 + 15.6595i −0.760494 + 0.760494i
\(425\) 8.35556 + 16.3987i 0.405304 + 0.795454i
\(426\) −14.0833 10.2321i −0.682338 0.495748i
\(427\) −1.59715 0.813788i −0.0772915 0.0393820i
\(428\) 12.6644 9.20119i 0.612155 0.444756i
\(429\) 14.8679 2.35485i 0.717831 0.113693i
\(430\) −1.12992 + 1.55520i −0.0544894 + 0.0749982i
\(431\) 12.2049 16.7986i 0.587891 0.809162i −0.406642 0.913588i \(-0.633300\pi\)
0.994533 + 0.104425i \(0.0333004\pi\)
\(432\) −0.623816 + 0.0988028i −0.0300134 + 0.00475365i
\(433\) −13.3108 + 9.67086i −0.639676 + 0.464752i −0.859739 0.510734i \(-0.829374\pi\)
0.220063 + 0.975486i \(0.429374\pi\)
\(434\) −20.7586 10.5770i −0.996446 0.507715i
\(435\) −2.48322 1.80417i −0.119061 0.0865032i
\(436\) 3.66726 + 7.19741i 0.175630 + 0.344693i
\(437\) −1.52685 + 1.52685i −0.0730392 + 0.0730392i
\(438\) 10.6892 + 1.69300i 0.510748 + 0.0808945i
\(439\) 20.4889 10.4396i 0.977882 0.498256i 0.109411 0.993997i \(-0.465103\pi\)
0.868470 + 0.495741i \(0.165103\pi\)
\(440\) 3.49345 6.85629i 0.166544 0.326861i
\(441\) 2.96184 + 9.11560i 0.141040 + 0.434076i
\(442\) 18.2896i 0.869948i
\(443\) 0.331688 0.107772i 0.0157590 0.00512040i −0.301127 0.953584i \(-0.597363\pi\)
0.316886 + 0.948464i \(0.397363\pi\)
\(444\) −2.85652 18.0354i −0.135565 0.855921i
\(445\) −1.86479 + 11.7738i −0.0883996 + 0.558133i
\(446\) 4.51626 + 1.46742i 0.213851 + 0.0694844i
\(447\) −2.09018 + 6.43293i −0.0988623 + 0.304267i
\(448\) 14.7141 + 14.7141i 0.695178 + 0.695178i
\(449\) −17.2577 23.7532i −0.814440 1.12098i −0.990623 0.136623i \(-0.956375\pi\)
0.176183 0.984357i \(-0.443625\pi\)
\(450\) 3.64089 0.171633
\(451\) −10.8018 + 11.9333i −0.508639 + 0.561917i
\(452\) −15.8308 −0.744617
\(453\) 7.78157 + 10.7104i 0.365610 + 0.503219i
\(454\) −4.35908 4.35908i −0.204582 0.204582i
\(455\) −5.71079 + 17.5760i −0.267726 + 0.823976i
\(456\) 3.69426 + 1.20034i 0.172999 + 0.0562109i
\(457\) −1.33751 + 8.44470i −0.0625660 + 0.395026i 0.936455 + 0.350788i \(0.114086\pi\)
−0.999021 + 0.0442385i \(0.985914\pi\)
\(458\) −2.48164 15.6685i −0.115960 0.732140i
\(459\) 25.7206 8.35714i 1.20054 0.390078i
\(460\) 2.86632i 0.133643i
\(461\) 10.8222 + 33.3073i 0.504041 + 1.55128i 0.802378 + 0.596817i \(0.203568\pi\)
−0.298337 + 0.954461i \(0.596432\pi\)
\(462\) 5.64020 11.0695i 0.262406 0.515000i
\(463\) −4.11872 + 2.09859i −0.191413 + 0.0975298i −0.547070 0.837087i \(-0.684257\pi\)
0.355657 + 0.934616i \(0.384257\pi\)
\(464\) 0.226826 + 0.0359258i 0.0105301 + 0.00166781i
\(465\) −6.92198 + 6.92198i −0.320999 + 0.320999i
\(466\) 1.75797 + 3.45021i 0.0814364 + 0.159828i
\(467\) 22.3850 + 16.2637i 1.03585 + 0.752592i 0.969472 0.245202i \(-0.0788544\pi\)
0.0663821 + 0.997794i \(0.478854\pi\)
\(468\) −4.94750 2.52088i −0.228698 0.116528i
\(469\) 11.3478 8.24465i 0.523992 0.380703i
\(470\) −9.37224 + 1.48442i −0.432309 + 0.0684711i
\(471\) 6.43130 8.85192i 0.296338 0.407875i
\(472\) −16.1025 + 22.1632i −0.741176 + 1.02014i
\(473\) 5.00643 0.792941i 0.230196 0.0364595i
\(474\) 2.73158 1.98461i 0.125465 0.0911560i
\(475\) −3.35694 1.71045i −0.154027 0.0784807i
\(476\) −18.7414 13.6164i −0.859009 0.624106i
\(477\) −3.75453 7.36869i −0.171908 0.337389i
\(478\) 6.98359 6.98359i 0.319422 0.319422i
\(479\) 5.04854 + 0.799610i 0.230674 + 0.0365351i 0.270701 0.962663i \(-0.412745\pi\)
−0.0400274 + 0.999199i \(0.512745\pi\)
\(480\) 7.45586 3.79895i 0.340312 0.173398i
\(481\) −21.1873 + 41.5825i −0.966060 + 1.89600i
\(482\) −5.32807 16.3981i −0.242687 0.746913i
\(483\) 12.2707i 0.558338i
\(484\) 5.39091 1.75161i 0.245041 0.0796188i
\(485\) 0.631275 + 3.98571i 0.0286647 + 0.180982i
\(486\) 1.45456 9.18374i 0.0659802 0.416583i
\(487\) 21.2814 + 6.91475i 0.964353 + 0.313337i 0.748534 0.663096i \(-0.230758\pi\)
0.215819 + 0.976433i \(0.430758\pi\)
\(488\) 0.394994 1.21567i 0.0178806 0.0550307i
\(489\) 14.3908 + 14.3908i 0.650774 + 0.650774i
\(490\) 5.04247 + 6.94036i 0.227796 + 0.313534i
\(491\) −40.1125 −1.81025 −0.905125 0.425146i \(-0.860223\pi\)
−0.905125 + 0.425146i \(0.860223\pi\)
\(492\) −10.5558 + 2.21465i −0.475892 + 0.0998443i
\(493\) −9.83359 −0.442883
\(494\) −2.20068 3.02898i −0.0990133 0.136280i
\(495\) 2.03193 + 2.03193i 0.0913285 + 0.0913285i
\(496\) 0.226330 0.696573i 0.0101625 0.0312771i
\(497\) −53.5941 17.4138i −2.40402 0.781114i
\(498\) 0.540485 3.41249i 0.0242197 0.152917i
\(499\) −4.96084 31.3215i −0.222078 1.40214i −0.806759 0.590880i \(-0.798781\pi\)
0.584682 0.811263i \(-0.301219\pi\)
\(500\) −10.9366 + 3.55351i −0.489098 + 0.158918i
\(501\) 0.263831i 0.0117871i
\(502\) 0.638869 + 1.96624i 0.0285141 + 0.0877574i
\(503\) 1.60627 3.15248i 0.0716200 0.140562i −0.852420 0.522857i \(-0.824866\pi\)
0.924040 + 0.382295i \(0.124866\pi\)
\(504\) −10.8270 + 5.51665i −0.482275 + 0.245731i
\(505\) −1.93759 0.306883i −0.0862214 0.0136561i
\(506\) −3.48231 + 3.48231i −0.154808 + 0.154808i
\(507\) −3.49432 6.85799i −0.155188 0.304574i
\(508\) −9.02216 6.55498i −0.400294 0.290830i
\(509\) −4.40168 2.24277i −0.195101 0.0994090i 0.353711 0.935355i \(-0.384920\pi\)
−0.548812 + 0.835946i \(0.684920\pi\)
\(510\) 5.13105 3.72792i 0.227207 0.165075i
\(511\) 34.6025 5.48050i 1.53072 0.242443i
\(512\) −0.742519 + 1.02199i −0.0328150 + 0.0451660i
\(513\) −3.25408 + 4.47886i −0.143671 + 0.197746i
\(514\) 17.1250 2.71234i 0.755353 0.119636i
\(515\) 9.65623 7.01567i 0.425505 0.309147i
\(516\) 3.02632 + 1.54199i 0.133226 + 0.0678821i
\(517\) 20.2424 + 14.7070i 0.890260 + 0.646811i
\(518\) 17.4861 + 34.3184i 0.768295 + 1.50786i
\(519\) −5.23127 + 5.23127i −0.229627 + 0.229627i
\(520\) −13.0160 2.06153i −0.570790 0.0904042i
\(521\) −1.05069 + 0.535356i −0.0460318 + 0.0234544i −0.476855 0.878982i \(-0.658223\pi\)
0.430823 + 0.902436i \(0.358223\pi\)
\(522\) −0.883155 + 1.73329i −0.0386547 + 0.0758640i
\(523\) 0.00907992 + 0.0279451i 0.000397037 + 0.00122195i 0.951255 0.308406i \(-0.0997955\pi\)
−0.950858 + 0.309628i \(0.899796\pi\)
\(524\) 0.228812i 0.00999571i
\(525\) −20.3624 + 6.61613i −0.888686 + 0.288752i
\(526\) 0.454672 + 2.87069i 0.0198246 + 0.125168i
\(527\) −4.90605 + 30.9756i −0.213711 + 1.34932i
\(528\) 0.371447 + 0.120690i 0.0161652 + 0.00525238i
\(529\) −5.60429 + 17.2482i −0.243665 + 0.749923i
\(530\) −5.23407 5.23407i −0.227354 0.227354i
\(531\) −6.01324 8.27651i −0.260952 0.359170i
\(532\) 4.74217 0.205599
\(533\) 25.1529 + 11.2783i 1.08949 + 0.488517i
\(534\) −13.7240 −0.593896
\(535\) 8.15478 + 11.2241i 0.352562 + 0.485260i
\(536\) 7.07266 + 7.07266i 0.305492 + 0.305492i
\(537\) 7.16117 22.0398i 0.309027 0.951088i
\(538\) 9.41486 + 3.05907i 0.405903 + 0.131886i
\(539\) 3.53865 22.3422i 0.152420 0.962345i
\(540\) 1.14962 + 7.25842i 0.0494718 + 0.312353i
\(541\) 33.9890 11.0437i 1.46130 0.474806i 0.532834 0.846220i \(-0.321127\pi\)
0.928467 + 0.371414i \(0.121127\pi\)
\(542\) 5.67963i 0.243961i
\(543\) −4.53389 13.9539i −0.194568 0.598818i
\(544\) 12.1708 23.8864i 0.521817 1.02412i
\(545\) −6.37888 + 3.25020i −0.273241 + 0.139223i
\(546\) −21.0144 3.32835i −0.899333 0.142440i
\(547\) −4.84258 + 4.84258i −0.207054 + 0.207054i −0.803014 0.595960i \(-0.796772\pi\)
0.595960 + 0.803014i \(0.296772\pi\)
\(548\) 3.53407 + 6.93601i 0.150968 + 0.296292i
\(549\) 0.386173 + 0.280571i 0.0164815 + 0.0119745i
\(550\) −7.65622 3.90104i −0.326462 0.166341i
\(551\) 1.62856 1.18322i 0.0693790 0.0504068i
\(552\) −8.64241 + 1.36882i −0.367845 + 0.0582610i
\(553\) 6.42448 8.84253i 0.273197 0.376023i
\(554\) 13.1544 18.1054i 0.558876 0.769227i
\(555\) 15.9843 2.53167i 0.678496 0.107463i
\(556\) 7.05537 5.12603i 0.299214 0.217392i
\(557\) −21.5323 10.9713i −0.912355 0.464868i −0.0662005 0.997806i \(-0.521088\pi\)
−0.846154 + 0.532938i \(0.821088\pi\)
\(558\) 5.01921 + 3.64667i 0.212480 + 0.154376i
\(559\) −3.94098 7.73462i −0.166686 0.327139i
\(560\) −0.339046 + 0.339046i −0.0143273 + 0.0143273i
\(561\) −16.5177 2.61614i −0.697377 0.110454i
\(562\) 2.68909 1.37016i 0.113432 0.0577966i
\(563\) 3.35567 6.58588i 0.141425 0.277562i −0.809420 0.587231i \(-0.800218\pi\)
0.950844 + 0.309669i \(0.100218\pi\)
\(564\) 5.18098 + 15.9454i 0.218159 + 0.671423i
\(565\) 14.0304i 0.590264i
\(566\) −6.36522 + 2.06819i −0.267550 + 0.0869323i
\(567\) 2.92215 + 18.4497i 0.122719 + 0.774816i
\(568\) 6.28618 39.6894i 0.263762 1.66533i
\(569\) −3.63848 1.18221i −0.152533 0.0495609i 0.231755 0.972774i \(-0.425553\pi\)
−0.384288 + 0.923213i \(0.625553\pi\)
\(570\) −0.401203 + 1.23478i −0.0168046 + 0.0517191i
\(571\) −7.80695 7.80695i −0.326710 0.326710i 0.524624 0.851334i \(-0.324206\pi\)
−0.851334 + 0.524624i \(0.824206\pi\)
\(572\) 7.70283 + 10.6020i 0.322071 + 0.443293i
\(573\) −21.9134 −0.915446
\(574\) 19.7322 11.3232i 0.823605 0.472620i
\(575\) 8.48705 0.353934
\(576\) −3.25708 4.48298i −0.135712 0.186791i
\(577\) −7.23096 7.23096i −0.301029 0.301029i 0.540388 0.841416i \(-0.318278\pi\)
−0.841416 + 0.540388i \(0.818278\pi\)
\(578\) 1.61250 4.96276i 0.0670712 0.206424i
\(579\) 30.9216 + 10.0470i 1.28506 + 0.417540i
\(580\) 0.418014 2.63924i 0.0173571 0.109588i
\(581\) −1.74963 11.0468i −0.0725871 0.458297i
\(582\) −4.41851 + 1.43566i −0.183153 + 0.0595100i
\(583\) 19.5180i 0.808353i
\(584\) 7.71994 + 23.7595i 0.319453 + 0.983176i
\(585\) 2.23419 4.38485i 0.0923725 0.181291i
\(586\) 4.72914 2.40962i 0.195359 0.0995403i
\(587\) 11.6235 + 1.84098i 0.479754 + 0.0759855i 0.391628 0.920124i \(-0.371912\pi\)
0.0881260 + 0.996109i \(0.471912\pi\)
\(588\) 10.7180 10.7180i 0.442004 0.442004i
\(589\) −2.91461 5.72024i −0.120094 0.235698i
\(590\) −7.40786 5.38213i −0.304977 0.221579i
\(591\) −14.6773 7.47848i −0.603745 0.307623i
\(592\) −0.979595 + 0.711718i −0.0402611 + 0.0292514i
\(593\) −26.9781 + 4.27291i −1.10786 + 0.175467i −0.683445 0.730002i \(-0.739519\pi\)
−0.424412 + 0.905469i \(0.639519\pi\)
\(594\) −7.42162 + 10.2150i −0.304513 + 0.419126i
\(595\) 12.0679 16.6100i 0.494734 0.680943i
\(596\) −5.81597 + 0.921160i −0.238232 + 0.0377322i
\(597\) −9.53351 + 6.92650i −0.390181 + 0.283483i
\(598\) 7.51472 + 3.82894i 0.307300 + 0.156577i
\(599\) 8.16465 + 5.93196i 0.333598 + 0.242373i 0.741956 0.670449i \(-0.233898\pi\)
−0.408358 + 0.912822i \(0.633898\pi\)
\(600\) −6.93126 13.6034i −0.282968 0.555355i
\(601\) −9.88133 + 9.88133i −0.403068 + 0.403068i −0.879313 0.476245i \(-0.841998\pi\)
0.476245 + 0.879313i \(0.341998\pi\)
\(602\) −7.07611 1.12074i −0.288401 0.0456782i
\(603\) −3.32808 + 1.69574i −0.135530 + 0.0690560i
\(604\) −5.23234 + 10.2690i −0.212901 + 0.417841i
\(605\) 1.55241 + 4.77783i 0.0631145 + 0.194246i
\(606\) 2.25852i 0.0917461i
\(607\) 5.95620 1.93529i 0.241755 0.0785509i −0.185634 0.982619i \(-0.559434\pi\)
0.427388 + 0.904068i \(0.359434\pi\)
\(608\) 0.858493 + 5.42031i 0.0348165 + 0.219823i
\(609\) 1.78952 11.2986i 0.0725151 0.457843i
\(610\) 0.406327 + 0.132024i 0.0164517 + 0.00534549i
\(611\) 13.2415 40.7531i 0.535693 1.64869i
\(612\) 4.36202 + 4.36202i 0.176324 + 0.176324i
\(613\) 13.8469 + 19.0586i 0.559270 + 0.769769i 0.991233 0.132122i \(-0.0421790\pi\)
−0.431963 + 0.901891i \(0.642179\pi\)
\(614\) −0.654075 −0.0263963
\(615\) −1.96279 9.35533i −0.0791474 0.377243i
\(616\) 28.6784 1.15549
\(617\) −19.5926 26.9669i −0.788768 1.08565i −0.994260 0.106988i \(-0.965879\pi\)
0.205492 0.978659i \(-0.434121\pi\)
\(618\) 9.71669 + 9.71669i 0.390863 + 0.390863i
\(619\) −13.3135 + 40.9747i −0.535115 + 1.64691i 0.208286 + 0.978068i \(0.433211\pi\)
−0.743401 + 0.668846i \(0.766789\pi\)
\(620\) −8.10498 2.63347i −0.325504 0.105763i
\(621\) 1.95090 12.3175i 0.0782870 0.494285i
\(622\) 4.01040 + 25.3207i 0.160802 + 1.01527i
\(623\) −42.2523 + 13.7286i −1.69280 + 0.550025i
\(624\) 0.668867i 0.0267761i
\(625\) 2.79636 + 8.60631i 0.111854 + 0.344252i
\(626\) −6.61959 + 12.9917i −0.264572 + 0.519252i
\(627\) 3.05031 1.55421i 0.121818 0.0620692i
\(628\) 9.40806 + 1.49009i 0.375422 + 0.0594611i
\(629\) 36.6617 36.6617i 1.46180 1.46180i
\(630\) −1.84390 3.61885i −0.0734627 0.144179i
\(631\) 5.88538 + 4.27598i 0.234293 + 0.170224i 0.698737 0.715379i \(-0.253746\pi\)
−0.464444 + 0.885603i \(0.653746\pi\)
\(632\) 6.94455 + 3.53842i 0.276239 + 0.140751i
\(633\) 10.8133 7.85632i 0.429790 0.312261i
\(634\) −29.6281 + 4.69263i −1.17668 + 0.186368i
\(635\) 5.80952 7.99611i 0.230544 0.317316i
\(636\) −7.68740 + 10.5808i −0.304825 + 0.419556i
\(637\) −38.2626 + 6.06020i −1.51602 + 0.240114i
\(638\) 3.71428 2.69858i 0.147050 0.106838i
\(639\) 13.3706 + 6.81266i 0.528933 + 0.269505i
\(640\) 5.72123 + 4.15671i 0.226151 + 0.164309i
\(641\) 13.9831 + 27.4433i 0.552297 + 1.08394i 0.983368 + 0.181626i \(0.0581361\pi\)
−0.431070 + 0.902318i \(0.641864\pi\)
\(642\) −11.2944 + 11.2944i −0.445753 + 0.445753i
\(643\) 15.0094 + 2.37726i 0.591914 + 0.0937500i 0.445203 0.895429i \(-0.353131\pi\)
0.146711 + 0.989179i \(0.453131\pi\)
\(644\) −9.51814 + 4.84973i −0.375067 + 0.191106i
\(645\) −1.36662 + 2.68215i −0.0538107 + 0.105609i
\(646\) 1.28534 + 3.95587i 0.0505711 + 0.155642i
\(647\) 5.82135i 0.228861i 0.993431 + 0.114430i \(0.0365043\pi\)
−0.993431 + 0.114430i \(0.963496\pi\)
\(648\) −12.6684 + 4.11620i −0.497660 + 0.161700i
\(649\) 3.77701 + 23.8471i 0.148261 + 0.936081i
\(650\) −2.30205 + 14.5346i −0.0902940 + 0.570094i
\(651\) −34.6975 11.2739i −1.35990 0.441859i
\(652\) −5.47498 + 16.8503i −0.214417 + 0.659907i
\(653\) −7.96838 7.96838i −0.311827 0.311827i 0.533790 0.845617i \(-0.320767\pi\)
−0.845617 + 0.533790i \(0.820767\pi\)
\(654\) −4.84468 6.66814i −0.189442 0.260745i
\(655\) 0.202791 0.00792368
\(656\) 0.448625 + 0.557000i 0.0175159 + 0.0217472i
\(657\) −9.32926 −0.363969
\(658\) −20.7869 28.6107i −0.810356 1.11536i
\(659\) −18.7955 18.7955i −0.732169 0.732169i 0.238880 0.971049i \(-0.423220\pi\)
−0.971049 + 0.238880i \(0.923220\pi\)
\(660\) 1.40429 4.32197i 0.0546620 0.168232i
\(661\) 2.86486 + 0.930849i 0.111430 + 0.0362058i 0.364201 0.931320i \(-0.381342\pi\)
−0.252771 + 0.967526i \(0.581342\pi\)
\(662\) −1.67456 + 10.5727i −0.0650835 + 0.410921i
\(663\) 4.48034 + 28.2878i 0.174002 + 1.09861i
\(664\) 7.58517 2.46457i 0.294362 0.0956439i
\(665\) 4.20287i 0.162980i
\(666\) −3.16948 9.75466i −0.122815 0.377986i
\(667\) −2.05867 + 4.04037i −0.0797120 + 0.156444i
\(668\) 0.204647 0.104273i 0.00791805 0.00403445i
\(669\) 7.34458 + 1.16327i 0.283958 + 0.0449745i
\(670\) −2.36398 + 2.36398i −0.0913285 + 0.0913285i
\(671\) −0.511443 1.00376i −0.0197440 0.0387499i
\(672\) 25.2302 + 18.3308i 0.973277 + 0.707127i
\(673\) 5.27484 + 2.68766i 0.203330 + 0.103602i 0.552691 0.833387i \(-0.313601\pi\)
−0.349361 + 0.936988i \(0.613601\pi\)
\(674\) 2.73448 1.98671i 0.105328 0.0765253i
\(675\) 21.4919 3.40398i 0.827222 0.131019i
\(676\) 3.93854 5.42093i 0.151482 0.208497i
\(677\) −6.10855 + 8.40769i −0.234770 + 0.323134i −0.910105 0.414378i \(-0.863999\pi\)
0.675335 + 0.737512i \(0.263999\pi\)
\(678\) 15.9541 2.52689i 0.612715 0.0970446i
\(679\) −12.1672 + 8.83999i −0.466934 + 0.339248i
\(680\) 13.0448 + 6.64665i 0.500244 + 0.254887i
\(681\) −7.80983 5.67417i −0.299273 0.217435i
\(682\) −6.64738 13.0462i −0.254541 0.499565i
\(683\) 25.5356 25.5356i 0.977093 0.977093i −0.0226507 0.999743i \(-0.507211\pi\)
0.999743 + 0.0226507i \(0.00721056\pi\)
\(684\) −1.24726 0.197547i −0.0476902 0.00755338i
\(685\) −6.14721 + 3.13216i −0.234873 + 0.119674i
\(686\) −3.22387 + 6.32720i −0.123088 + 0.241574i
\(687\) −7.67650 23.6258i −0.292877 0.901382i
\(688\) 0.225225i 0.00858663i
\(689\) 31.7901 10.3292i 1.21110 0.393512i
\(690\) −0.457518 2.88866i −0.0174174 0.109969i
\(691\) 0.650080 4.10445i 0.0247302 0.156140i −0.972233 0.234015i \(-0.924813\pi\)
0.996963 + 0.0778748i \(0.0248134\pi\)
\(692\) −6.12532 1.99024i −0.232850 0.0756575i
\(693\) −3.30943 + 10.1854i −0.125715 + 0.386910i
\(694\) 10.1442 + 10.1442i 0.385070 + 0.385070i
\(695\) 4.54307 + 6.25300i 0.172328 + 0.237190i
\(696\) 8.15735 0.309203
\(697\) −22.7043 20.5516i −0.859986 0.778447i
\(698\) 0.814099 0.0308141
\(699\) 3.56417 + 4.90565i 0.134809 + 0.185549i
\(700\) −13.1797 13.1797i −0.498148 0.498148i
\(701\) −2.84581 + 8.75851i −0.107485 + 0.330805i −0.990306 0.138906i \(-0.955642\pi\)
0.882821 + 0.469710i \(0.155642\pi\)
\(702\) 20.5653 + 6.68208i 0.776189 + 0.252199i
\(703\) −1.66033 + 10.4829i −0.0626205 + 0.395370i
\(704\) 2.04582 + 12.9168i 0.0771049 + 0.486821i
\(705\) −14.1320 + 4.59177i −0.532243 + 0.172936i
\(706\) 3.82640i 0.144008i
\(707\) −2.25928 6.95335i −0.0849689 0.261507i
\(708\) −7.34493 + 14.4152i −0.276039 + 0.541758i
\(709\) −29.0044 + 14.7785i −1.08928 + 0.555018i −0.903941 0.427656i \(-0.859339\pi\)
−0.185342 + 0.982674i \(0.559339\pi\)
\(710\) 13.2659 + 2.10111i 0.497859 + 0.0788531i
\(711\) −2.05809 + 2.05809i −0.0771843 + 0.0771843i
\(712\) −14.3825 28.2273i −0.539008 1.05786i
\(713\) 11.7000 + 8.50052i 0.438167 + 0.318347i
\(714\) 21.0609 + 10.7310i 0.788183 + 0.401599i
\(715\) −9.39631 + 6.82682i −0.351402 + 0.255309i
\(716\) 19.9261 3.15598i 0.744673 0.117945i
\(717\) 9.09048 12.5120i 0.339490 0.467268i
\(718\) 13.5690 18.6762i 0.506392 0.696989i
\(719\) −10.0466 + 1.59122i −0.374675 + 0.0593427i −0.340932 0.940088i \(-0.610743\pi\)
−0.0337427 + 0.999431i \(0.510743\pi\)
\(720\) 0.103298 0.0750502i 0.00384968 0.00279695i
\(721\) 39.6349 + 20.1950i 1.47608 + 0.752101i
\(722\) 12.9653 + 9.41981i 0.482517 + 0.350569i
\(723\) −12.2577 24.0570i −0.455868 0.894691i
\(724\) 9.03178 9.03178i 0.335664 0.335664i
\(725\) −7.81467 1.23772i −0.290230 0.0459678i
\(726\) −5.15334 + 2.62576i −0.191258 + 0.0974509i
\(727\) 20.8419 40.9046i 0.772985 1.51707i −0.0809673 0.996717i \(-0.525801\pi\)
0.853952 0.520352i \(-0.174199\pi\)
\(728\) −15.1770 46.7101i −0.562498 1.73119i
\(729\) 28.5708i 1.05818i
\(730\) −7.94144 + 2.58033i −0.293926 + 0.0955023i
\(731\) 1.50865 + 9.52523i 0.0557994 + 0.352304i
\(732\) 0.118089 0.745582i 0.00436468 0.0275575i
\(733\) −35.9271 11.6734i −1.32700 0.431167i −0.442104 0.896964i \(-0.645768\pi\)
−0.884892 + 0.465797i \(0.845768\pi\)
\(734\) 3.78264 11.6418i 0.139620 0.429706i
\(735\) 9.49913 + 9.49913i 0.350381 + 0.350381i
\(736\) −7.26636 10.0013i −0.267842 0.368652i
\(737\) 8.81535 0.324718
\(738\) −5.66154 + 2.15617i −0.208404 + 0.0793696i
\(739\) −37.9331 −1.39539 −0.697697 0.716393i \(-0.745792\pi\)
−0.697697 + 0.716393i \(0.745792\pi\)
\(740\) 8.28119 + 11.3981i 0.304423 + 0.419002i
\(741\) −4.14570 4.14570i −0.152296 0.152296i
\(742\) 8.52479 26.2366i 0.312955 0.963176i
\(743\) 18.8073 + 6.11086i 0.689973 + 0.224186i 0.632956 0.774188i \(-0.281841\pi\)
0.0570164 + 0.998373i \(0.481841\pi\)
\(744\) 4.06976 25.6954i 0.149204 0.942040i
\(745\) −0.816401 5.15455i −0.0299106 0.188848i
\(746\) −29.2733 + 9.51148i −1.07177 + 0.348240i
\(747\) 2.97834i 0.108972i
\(748\) −4.49895 13.8464i −0.164498 0.506273i
\(749\) −23.4740 + 46.0703i −0.857721 + 1.68337i
\(750\) 10.4546 5.32688i 0.381748 0.194510i
\(751\) 15.6451 + 2.47795i 0.570899 + 0.0904216i 0.435209 0.900330i \(-0.356675\pi\)
0.135691 + 0.990751i \(0.456675\pi\)
\(752\) 0.786137 0.786137i 0.0286675 0.0286675i
\(753\) 1.46977 + 2.88459i 0.0535615 + 0.105120i
\(754\) −6.36098 4.62152i −0.231653 0.168306i
\(755\) −9.10120 4.63729i −0.331226 0.168768i
\(756\) −22.1578 + 16.0986i −0.805871 + 0.585499i
\(757\) 22.6735 3.59113i 0.824083 0.130522i 0.269870 0.962897i \(-0.413019\pi\)
0.554213 + 0.832375i \(0.313019\pi\)
\(758\) −4.97232 + 6.84381i −0.180603 + 0.248578i
\(759\) −4.53289 + 6.23899i −0.164534 + 0.226461i
\(760\) −2.96012 + 0.468837i −0.107375 + 0.0170065i
\(761\) 36.5322 26.5422i 1.32429 0.962155i 0.324424 0.945912i \(-0.394830\pi\)
0.999868 0.0162427i \(-0.00517045\pi\)
\(762\) 10.1388 + 5.16596i 0.367289 + 0.187143i
\(763\) −21.5858 15.6830i −0.781458 0.567762i
\(764\) −8.66079 16.